The compound interest (in ₹) on ₹ $5,000$ for $3$ years at $10 \%$ per annum will amount to:

The least number of complete years in which a sum of money put out at $20 \%$ compound interest will be more than doubled is

If the compound interest on a certain sum of money for $2$ years is $Rs. 164$ whereas the simple interest for $3$ years at the same rate is $Rs. 240$ on the same sum,find the sum (in $Rs.$).

How many statements are required to find the rate of interest percent $p.a.$?
$Statements:$
$I$. The difference between the compound interest and simple interest earned in two years on the amount invested is ₹ $100$.
$II$. The amount becomes ₹ $19,500$ in three years on simple interest.
$III$. The simple interest accrued in two years on the same amount at the same rate of interest is ₹ $3,000$.

The difference between the compound and simple interest on a sum of money for $2$ years at $6 \frac{1}{4} \%$ per annum is $Rs. 10$. The sum (in $Rs.$) is

$A$ man borrows $Rs. 5100$ to be paid back with compound interest at the rate of $4 \%$ p.a. by the end of $2$ years in two equal yearly instalments. How much (in $Rs.$) will be each instalment?